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Finding the Fourth Proportional to 9,713,114.10, 13,618,266.30 and 9,713,114.10

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Solution

The fourth proportional to 9,713,114.10, 13,618,266.30 and 9,713,114.10 is: 13,618,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,114.10 : 13,618,266.30 = 9,713,114.10 : x
  2. Step 2: Convert to fraction form
    9,713,114.10/13,618,266.30 = 9,713,114.10/x
  3. Step 3: Cross multiply
    9,713,114.10x = 13,618,266.30 × 9,713,114.10
  4. Step 4: Simplify right side
    9,713,114.10x = 132,275,774,416,084.83
  5. Step 5: Solve for x
    x = 132,275,774,416,084.83/9,713,114.10
  6. Step 6: Final answer
    x = 13,618,266.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.